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Finding the Fourth Proportional to 1,066.92, 1,470.54 and 973.98

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Solution

The fourth proportional to 1,066.92, 1,470.54 and 973.98 is: 1,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.92 : 1,470.54 = 973.98 : x
  2. Step 2: Convert to fraction form
    1,066.92/1,470.54 = 973.98/x
  3. Step 3: Cross multiply
    1,066.92x = 1,470.54 × 973.98
  4. Step 4: Simplify right side
    1,066.92x = 1,432,276.55
  5. Step 5: Solve for x
    x = 1,432,276.55/1,066.92
  6. Step 6: Final answer
    x = 1,342.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.